Which of the following pairs of functions are inverses of each other?

Answer:

x = - [tex]\frac{3}{11}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x}{3}[/tex] - [tex]\frac{3-2x}{6}[/tex] = [tex]\frac{5}{2}[/tex] x

Multiply through by 6 to clear the fractions

2x - (3 - 2x) = 15x ← distribute and simplify left side

2x - 3 + 2x = 15x

4x - 3 = 15x ( subtract 4x from both sides )

- 3 = 11x ( divide both sides by 11 )

- [tex]\frac{3}{11}[/tex] = x

Answer: x=-3/11

Step-by-step explanation:

Answer:

(3x - (3x - 5y))(3x + (3x - 5y))

Step-by-step explanation:

We use difference of squares to help factor.

Answer:

The correct option is C

C) Lines r and s and lines t and u must be parallel

Step-by-step explanation:

I've attached the figure for this questions below. Consult it for better understanding of the solution.

We have been given 2 conditions that:

When both the pair of lines that are r,s and t,u are parallel, then the angles <8 and <10 as well as <1 and <7 become opposite angle, which are always equal. Even if one pair of lines is not parallel, these conditions won;t hold true.

C) Lines r and s and lines t and u must be parallel.

I just took the quiz on edge

Answer:

≈ 9.4 cm

Step-by-step explanation:

P(-4, -2), Q(4,3)

d= √(x2-x1)²+(y2-y1)²=√ (4+4)²+(3+2)²= √64+25 = √89 ≈ 9.4 cm

Answer:

9.4

Step-by-step explanation:

Hello! To solve this problem, you need to know the distance between two points formula. That is [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 } \\[/tex]. Now, just plug in the numbers from the equation. [tex]x_{2}[/tex] is -4, [tex]x_{1}[/tex] is 4, [tex]y_{2}[/tex] is -2, and [tex]y_{1}[/tex] is 3. So, then you have [tex]\sqrt{(-4-4)^2+(-2-3)^2}[/tex], which is equal to [tex]\sqrt{89[/tex]. [tex]\sqrt{89[/tex] rounded to one decimal place is 9.4. I believe that is the right answer, please let me know if it helped.

Answer:

Multiplication:

1 x (3/4 x4/5)

= 3/5

Answer:

7/5 (improper fraction), or 1 2/5 (mixed number)

Step-by-step explanation:

One and three-fourths written as an improper fraction is 7/4.

Now we multiply 4/5 by 7/4.  The '4' in each fraction cancels out the '4' in the other fraction, so that we are left with (1/5)(7/1), or 7/5 (improper fraction), or 1 2/5 (mixed number)

Answer:

2619mm^2

Step-by-step explanation:

Surface Area: 2bh+b^2

2(27)(35)+27^2

1890+729=2619

Answer: I think it’s $1.80

Step-by-step explanation:

Sorry if I’m wrong

Answer:

Firstly, divide the tax rate by 100: 6/100 = 0.06 (tax rate as a decimal). Note: to easily divide by 100, just move the decimal point two spaces to the left.

Now, find the tax value by multiplying tax rate by the before tax price:

tax = 39.99 × 0.06

tax = 2.4 (tax value rouded to 2 decimals)

Add tax to the before tax price to get the final price:

The final price including tax = 39.99 + 2.4 = 42.39

Step-by-step explanation:

Answer:

(5,9)

Step-by-step explanation:

3y=4x+7

5y=4x+25​

Subtract the two equations to eliminate x

5y=4x+25

-( ​3y=4x+7)

------------------

2y = 0x +18

Divide by 2

2y/2 = 18/2

y =9

Now find x

3y = 4x+7

3*9 = 4x+7

27 = 4x+7

Subtract 7

20 = 4x

Divide 4

20/4 = 4x/4

5 =x

(5,9)

Step-by-step explanation:

3y=4x+7_equation 1

5y=4x+25_equation 2

multiply equation 1 by 5 an equation 2 by 3

15y=20x+35_equation 3

15y=12x+75_equation 4

subtract equations 4 from equation 3

0=8x-40

40=8x

divide both sides by 8

x=5

substitute x into equation 1

3y=4(5)+7

3y=20+7

3y=27

divide both sides by 3

y=9

Answer:

y = 0.265x - 494.7

Step-by-step explanation:

Let median age be represent by 'a' and time be represent by 't'

In 1980, median age is given 30

which means that

a₁ = 30

t₁ = 1980

In 2000, the median age is given 35.3

which means that.

a₂ = 35.3

t₂ = 2000

The slope 'm' of the linear equation can be found by:

m = (a₂ - a₁) /(t₂ - t₁)

m = (35.3 - 30)/(2000-1980)

m = 0.265

General form of linear equation is given by:

y = mx + c

y = 0.265x +c

Substitute point (1980,30) in the equation.

30 = 0.265(1980) + c

c = -494.7

Hence the the linear equation can be written as:

y = mx + c

y = 0.265x - 494.7

Answer:

y=-1/4x +3

Step-by-step explanation:

x/2 + 2y = 6

Subtract x/2 from both sides

2y=-x/2 +6

Simplify by dividing by 2

y=-1/4x +3

Answer: 3/4

Step-by-step explanation:

Following the rise over run rule it goes 4 on the x axis and then 3 on the y axis

Answer:

solution,

[tex]2(x + 1) + 2(x - 2) = 3(x - 3) + 4 \\ or \: 2x + 2 + 2x - 4 = 3x - 9 + 4 \\ or \: 2x + 2x + 2 - 4 = 3x - 5 \\ or \: 4x - 2 = 3x - 5 \\ or \: 4x - 3x = - 5 + 2 \\ x = - 3[/tex]

Hope this helps...

good luck on your assignment.

Answer:

x = - 3

Step-by-step explanation:

2(x + 1) + 2(x - 2) = 3(x-3) + 4​

2x + 2 + 2x - 4 = 3x - 9 + 4

2x + 2x - 3x = - 9 + 4 - 2 + 4

4x - 3x = - 3

x = - 3

Answer: B

Step-by-step explanation: it could not be A bc A is 3.4 and 34.8 and its not correct

Answer:

3/663 or 1/221 chance

Step-by-step explanation:

A standard deck of cards contains 52 cards total, 4 suits total. Therefore there are 4 "10"s.

There is a 4/52 (simplified: 1/13) chance to draw a 10 on the first try.

To do it twice there is a 3/51 x 1/13 chance.

Answer:

[tex](\frac{{3ab^{3}}}{c^{1}} )^{3}[/tex]

Step-by-step explanation:

[tex](3ab^{3} c^{-1} )^{3} =(\frac{{3ab^{3}}}{c^{1}} )^{3}[/tex]

Answer:

x^2 - 6x + 147 so the coefficient is 1

Step-by-step explanation:

First, simplify the equation.

1. 2/3x(2x-3) = (2x/3)(2x-3)-(x-7)(x+7)

2. 2x-3(2x/3) = (2x(2x-3)) - (x-7)(x+7)

3. Expand -(x-7)(x+7) = -x^2+49

Combine to get (x^2 - 6x)/3 +49

Simplify to get x^2 - 6x + 147. The coefficient of the quadratic term is one.

Answer:

1, 2, 5 and 6 are the answers.

Step-by-step explanation:

2 is correct because the arrow shows that the number line continues till infinity. 5 is correct because any fraction is possible as no restriction of integer value is placed. Any number less than 7 is not included. There are some confusions with 1 as it's not a solid color, So, I assume -7 is not included.

Answer:

A. 1

Step-by-step explanation:

2/3 ÷ (-4) - (1/6-8/6)

Solve for brackets.

2/3 ÷ (-4) - (-7/6)

2/3 ÷ (-4) + 7/6

-2/12 + 7/6

Make denominators equal.

-2/12 + 14/12

12/12

= 1

Answer:

[tex]-64\frac{7}{8}[/tex]

Step-by-step explanation:

-64 would be the whole number.

.875 would be 875/1000 as a fraction.

Put them together:

[tex]-64\frac{875}{1000}[/tex]

Simplify:

[tex]-64\frac{875}{1000}=-64\frac{875/125}{1000/125}=\boxed{-64\frac{7}{8}}[/tex]

Answer: 5.2

Step-by-step explanation:

This is known as the heart beat method. Search it up for a better explinations.

Basically you putting 3/x = x/9 and simplifying to get sqrt27.

Search this up and watch the video for a better explination

heartbeat method geometry

Answer:

61464

Step-by-step explanation:

61464 ~ 61460 to the nearest ten

61464 ÷ 4 = 15366

61464 is an even number

The number is 61464

A number system is defined as a system of writing to express numbers.

When a number is rounded  to the nearest ten, the number is 61 460.

61464 ~ 61460 to the nearest ten

When the number is divisible by 4

61464 ÷ 4 = 15366

The digit sum is even

61464 is an even number

Hence, the number is 61464

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ5

Answer:

It's Rational. Hopes this helps you!

Step-by-step explanation:

Answer:

b^ (m-n)

Step-by-step explanation:

When the bases are the same, when dividing, we subtract the exponents

b^m/b^n

b^ (m-n)

Answer:

23

Step-by-step explanation:

[tex] \because \: f(x) = \bigg [ \frac{x}{1.50} \bigg] \\ \\ \therefore \: f(35) = \bigg [ \frac{35}{1.50} \bigg] \\ \\ \therefore \: f(35) =23.33 \\ \\ \therefore \: f(35) \approx 23 \\ [/tex]

Hence, 23 songs can be purchased with a $35 gift card.

Answer:

(x - 3)(x + 3)(x² + 9)

Step-by-step explanation:

Step 1: Difference of Squares

(x² - 9)(x² + 9)

Step 2: Difference of Squares within Difference of Squares

(x - 3)(x + 3)(x² + 9)

*You can't factor x² + 9 because it has no real roots. You can factor it to have complex roots (imaginary number i).

Answer:

(x+3)(x+3)(x²-9)

Answer:

6√5/25 = 6√5/(√5)^4 = 6/(√5)^3 (invalid)

30/√5 = 6*(√5)^2/(√5) = 6√5 (invalid)

36/√30 =  6*(√6)^2/(√5*√6) = 6√6/√5 (invalid)

6√5/5 = 6√5/(√5)^2 = 6/√5 (valid)

Answer:

[tex]$\frac{6\sqrt{5} }{5} $[/tex]

Step-by-step explanation:

Which expression is equal to [tex]$\frac{6}{\sqrt{5} } $[/tex]?

Rationalizing denominator:

[tex]$\frac{6}{\sqrt{5} }\cdot \frac{\sqrt{5} }{\sqrt{5} }=\frac{6\sqrt{5} }{5} $[/tex]

Answer:

Step-by-step explanation:

c

Answer:

y - 8 = m(x + 10)

Step-by-step explanation:

Use the standard point-slope form of the equation of a straight line:

y - k = m(x - h), where (h, k) is a point on the line.

Thus, we have y - 8 = m(x + 10).

Sounds like a line was given; if that's the case, please share it.  We'd get the slope value (m) from this given line.

Answer:

A (first equation is y – 8 = –0.15(x – 10))

Step-by-step explanation:

A (first equation is y – 8 = –0.15(x – 10))

Answer:

40 ≤ y ≤ 100

Step-by-step explanation:

Answer: Domain must include the x value. With a maximum of 30 people allowed in the theater, the domain is between 0 and 30, or 0<x>30

Step-by-step explanation: